Finite Group Databasebeta

← Group #13163197

Character table — Group #13163197

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111122222222222222222244444444444444444444444444888888888888888888363636367272111122222222222222222244444444444444444444444444888888888888888888363636367272111122222222222222222244444444444444444444444444888888888888888888363636367272
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
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χ61111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-11
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χ1422222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-100000022222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-100000022222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000
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χ172222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111112-2-1-122-1-1-1-111-2-211110000002222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111112-2-1-122-1-1-1-111-2-211110000002222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111112-2-1-122-1-1-1-111-2-21111000000
χ182222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-10000002222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-10000002222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-1000000
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χ202222-1-12-122-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-2110000002222-1-12-122-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-2110000002222-1-12-122-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-211000000
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χ8622222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ872222-12-1-122-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000
χ882222-12-1-122-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-21111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ892222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111112-2-1-122-1-1-1-111-2-21111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ902222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000
χ912222-1-12-122-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32000000
χ922222-1-12-122-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-211000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32000000
χ932222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-1-12-1-1-12-111111111-2-2-2-211112-2-1-1-1-122-1-11111-2-211000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i31−i31−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i31+i31+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32000000
χ942222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-1-12-1-1-12-111111111-2-2-2-21111-221111-2-211-1-1-1-122-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i31−i31−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i31+i31+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32000000
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χ1521111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ15322222222-2-222222222222200-2-2-2-2-2-2-2-200000000000000000000000000000000002-20000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i31+i31+i31+i31+i30000000000000000000000000000000000−1−i31+i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i31−i31−i31−i31−i30000000000000000000000000000000000−1+i31−i30000
χ15422222222-2-222222222222200-2-2-2-2-2-2-2-20000000000000000000000000000000000-220000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i31+i31+i31+i31+i300000000000000000000000000000000001+i3−1−i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i31−i31−i31−i31−i300000000000000000000000000000000001−i3−1+i30000
χ15522222-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ15622222-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000
χ15722222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2-2-21111111111112-222-1-1-1-1-1-1-2-2111111000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000
χ15822222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ1592222-12-1-122-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000
χ1602222-12-1-122-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-21111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.